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Finding the Fourth Proportional to 509,967.63, 703,741.21 and 277,386.86

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Solution

The fourth proportional to 509,967.63, 703,741.21 and 277,386.86 is: 382,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,967.63 : 703,741.21 = 277,386.86 : x
  2. Step 2: Convert to fraction form
    509,967.63/703,741.21 = 277,386.86/x
  3. Step 3: Cross multiply
    509,967.63x = 703,741.21 × 277,386.86
  4. Step 4: Simplify right side
    509,967.63x = 195,208,565,560.39
  5. Step 5: Solve for x
    x = 195,208,565,560.39/509,967.63
  6. Step 6: Final answer
    x = 382,786.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.